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Finding the Third Proportional to 277,738,120 and 604,851,248

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Solution

The third proportional to 277,738,120 and 604,851,248 is: 1,317,230,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,738,120 : 604,851,248 = 604,851,248 : x
  2. Step 2: Convert to fraction form
    277,738,120/604,851,248 = 604,851,248/x
  3. Step 3: Cross multiply
    277,738,120x = 604,851,248 × 604,851,248
  4. Step 4: Simplify right side
    277,738,120x = 365,845,032,207,157,504
  5. Step 5: Solve for x
    x = 365,845,032,207,157,504/277,738,120
  6. Step 6: Final answer
    x = 1,317,230,174.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.